r^5-8r^2=0

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Solution for r^5-8r^2=0 equation: 


Simplifying
r5 + -8r2 = 0

Reorder the terms:
-8r2 + r5 = 0

Solving
-8r2 + r5 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), 'r2'.
r2(-8 + r3) = 0


Subproblem 1
Set the factor 'r2' equal to zero and attempt to solve:

Simplifying
r2 = 0

Solving
r2 = 0

Move all terms containing r to the left, all other terms to the right.

Simplifying
r2 = 0

Take the square root of each side:
r = {0}

Subproblem 2
Set the factor '(-8 + r3)' equal to zero and attempt to solve:

Simplifying
-8 + r3 = 0

Solving
-8 + r3 = 0

Move all terms containing r to the left, all other terms to the right.

Add '8' to each side of the equation.
-8 + 8 + r3 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + r3 = 0 + 8
r3 = 0 + 8

Combine like terms: 0 + 8 = 8
r3 = 8

Simplifying
r3 = 8

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
r = {0}

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